Home / 1,159.09-1,738.54-456.32

Finding the Fourth Proportional to 1,159.09, 1,738.54 and 456.32

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Solution

The fourth proportional to 1,159.09, 1,738.54 and 456.32 is: 684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.09 : 1,738.54 = 456.32 : x
  2. Step 2: Convert to fraction form
    1,159.09/1,738.54 = 456.32/x
  3. Step 3: Cross multiply
    1,159.09x = 1,738.54 × 456.32
  4. Step 4: Simplify right side
    1,159.09x = 793,330.57
  5. Step 5: Solve for x
    x = 793,330.57/1,159.09
  6. Step 6: Final answer
    x = 684.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.